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Finding the Fourth Proportional to 3,289.45, 4,929.92 and 2,461.22

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Solution

The fourth proportional to 3,289.45, 4,929.92 and 2,461.22 is: 3,688.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,289.45 : 4,929.92 = 2,461.22 : x
  2. Step 2: Convert to fraction form
    3,289.45/4,929.92 = 2,461.22/x
  3. Step 3: Cross multiply
    3,289.45x = 4,929.92 × 2,461.22
  4. Step 4: Simplify right side
    3,289.45x = 12,133,605.40
  5. Step 5: Solve for x
    x = 12,133,605.40/3,289.45
  6. Step 6: Final answer
    x = 3,688.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.